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Finding the Third Proportional to 83,639,299.50 and 181,179,321.75

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Solution

The third proportional to 83,639,299.50 and 181,179,321.75 is: 392,470,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,639,299.50 : 181,179,321.75 = 181,179,321.75 : x
  2. Step 2: Convert to fraction form
    83,639,299.50/181,179,321.75 = 181,179,321.75/x
  3. Step 3: Cross multiply
    83,639,299.50x = 181,179,321.75 × 181,179,321.75
  4. Step 4: Simplify right side
    83,639,299.50x = 32,825,946,629,790,024
  5. Step 5: Solve for x
    x = 32,825,946,629,790,024/83,639,299.50
  6. Step 6: Final answer
    x = 392,470,367.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.